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Finding the Fourth Proportional to 600.63, 828.54 and 364.65

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Solution

The fourth proportional to 600.63, 828.54 and 364.65 is: 503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.63 : 828.54 = 364.65 : x
  2. Step 2: Convert to fraction form
    600.63/828.54 = 364.65/x
  3. Step 3: Cross multiply
    600.63x = 828.54 × 364.65
  4. Step 4: Simplify right side
    600.63x = 302,127.11
  5. Step 5: Solve for x
    x = 302,127.11/600.63
  6. Step 6: Final answer
    x = 503.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.